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Finding the Fourth Proportional to 9,497.60, 14,252.16 and 4,303.52

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Solution

The fourth proportional to 9,497.60, 14,252.16 and 4,303.52 is: 6,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.60 : 14,252.16 = 4,303.52 : x
  2. Step 2: Convert to fraction form
    9,497.60/14,252.16 = 4,303.52/x
  3. Step 3: Cross multiply
    9,497.60x = 14,252.16 × 4,303.52
  4. Step 4: Simplify right side
    9,497.60x = 61,334,455.60
  5. Step 5: Solve for x
    x = 61,334,455.60/9,497.60
  6. Step 6: Final answer
    x = 6,457.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.